Elliptic curve data - 64400.bd1

Formats: - HTML - YAML - JSON - 2024-05-02T07:13:57.220383

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '64400ba', 'Clabel': '64400ba2', 'Cnumber': 2, 'abc_quality': 1.0773027896377738, 'absD': 3606400000000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1288, 'ainvs': [0, 0, 0, -6244075, 6004820250], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 64400, 'degree': 1548288, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5798222156830416029547644694', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 29, 'isogeny_degrees': [1, 2], 'jinv': [420676324562824569, 56350000000], 'lmfdb_iso': '64400.bd', 'lmfdb_label': '64400.bd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -15610, -746700], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '184.6.0.?', '1288.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0819560789060461062371526813', 'prec': 100}, 'szpiro_ratio': 5.288153794090901, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 0, 0, 0, 0, 0, -1, 0, -3, 0, 0, 0, -4, 0, 0, 0, -4, 0, 2, 0], 'aplist': [0, 0, 0, -1, 0, -4, -4, 2, -1, 10, 6, 6, -2, -4, -10, 10, 0, -10, -12, -4, 10, -8, 2, 0, 16], 'class_deg': 2, 'class_size': 2, 'conductor': 64400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '64400.bd', 'trace_hash': 2179497291427649345}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.0057437416169696427114771270412', 'prec': 110}, 'conductor': 64400, 'gens': [], 'heights': [], 'lmfdb_label': '64400.bd1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24055748161290026089813159907', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.96222992645160104359252639629839565214', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[1430, 0, 1]], 'xcoord_integral_points': [1430]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': 'a', '7': [0, 0], '23': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '64400.bd1'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 3078463
    {'degree': 2, 'field': [-46, 0, 1], 'lmfdb_label': '64400.bd1', 'torsion': [2, 2]}
  • id: 3078464
    {'degree': 4, 'field': [274, -13, 35, -1, 1], 'lmfdb_label': '64400.bd1', 'torsion': [4]}
  • id: 3078467
    {'degree': 8, 'field': [-279075, 0, 45240, 0, -1830, 0, 0, 0, 1], 'lmfdb_label': '64400.bd1', 'torsion': [6]}
  • id: 3078466
    {'degree': 8, 'field': [129056, 174800, 96614, 24840, 1827, -460, -94, 0, 1], 'lmfdb_label': '64400.bd1', 'torsion': [2, 4]}
  • id: 3078465
    {'degree': 8, 'field': [685584, 0, -524768, 0, 16928, 0, -184, 0, 1], 'lmfdb_label': '64400.bd1', 'torsion': [2, 4]}
  • id: 3078468
    {'degree': 16, 'field': [18339659776, 0, 6291604368, 0, 788424774, 0, 57266895, 0, 4257461, 0, 226044, 0, 8178, 0, 147, 0, 1], 'lmfdb_label': '64400.bd1', 'torsion': [8]}
  • id: 3078469
    {'degree': 16, 'field': [5794327793881, 0, -2133956902208, 0, 391099302388, 0, -25689972656, 0, 501977230, 0, -5697056, 0, 55588, 0, -368, 0, 1], 'lmfdb_label': '64400.bd1', 'torsion': [2, 6]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 1555823
    {'conductor': 64400, 'conductor_valuation': 4, 'discriminant_valuation': 19, 'j_denominator_valuation': 7, 'kodaira_symbol': -15, 'lmfdb_label': '64400.bd1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1555824
    {'conductor': 64400, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '64400.bd1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1555825
    {'conductor': 64400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '64400.bd1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1555826
    {'conductor': 64400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '64400.bd1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2090777
    {'adelic_gens': [[562, 1, 1007, 0], [1, 2, 2, 5], [2, 1, 643, 0], [1, 4, 0, 1], [1285, 4, 1284, 5], [1, 0, 4, 1], [185, 4, 370, 9], [3, 4, 8, 11], [484, 809, 161, 1128]], 'adelic_image': '1288.12.0.?', 'conductor': 64400, 'lmfdb_label': '64400.bd1', 'prime': 0}
  • id: 270385
    {'conductor': 64400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '64400.bd1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 64400.bd does not appear in ec_padic